Complex energy flows in non-empty space for double unification of particles with fields and charges with masses

TL;DR

This paper proposes a non-empty space model with complex energy densities that unifies particles, fields, and charges, explaining Coulomb fields, charge densities, and force unification without divergences or self-acceleration.

Contribution

It introduces a novel non-empty space framework with complex densities for unifying particles and forces, resolving divergences and self-acceleration issues.

Findings

Coulomb fields are carried rigidly by electrons.

Charged densities are proportional to electric self-energy densities.

Complex densities lead to force unification without radiation self-acceleration.

Abstract

Non-empty space reading of Maxwell equations as local energy identities explains why a Coulomb field is carried rigidly by electrons in experiments. The analytical solution of the Poisson equation defines the sharp radial shape of charged elementary densities which are proportional to continuous densities of electric self-energy. Inward and outward longitudinal waves within the continuous electron reshape its radial energy structure in external fields. Both Coulomb field and radial charge densities are free from energy divergences. Non-empty space of electrically charged mass-energy can be described by complex analytical densities resulting in real values for volume mass integrals and in imaginary values for volume charge integrals. Imaginary electric charges in the Newton gravitational law comply with real Coulomb forces. Unification of forces through complex charges rids them of radiation self-acceleration.